The difference between five-sixths of a number and two-thirds of the same number is 4. Find the number.

Answer 1

Hello Jeetraj,

Let's call that number x:

five-sixths of a number means (5/6)*x

two-thirds of the same number means (2/3)*x

"The difference between five-sixths of a number and two-thirds of the same number is 4" means:

(5/6)*x - (2/3)*x = 4

convert 2/3 to 4/6 so both fractions can have the same denominator: (5/6)*x - (4/6)*x = 4

So: (1/6)*x = 4

Multiply both sides by 6: x = 24

That number is 24.

Cheers.